English

Monte Carlo simulation method for Laughlin-like states in a disk geometry

Mesoscale and Nanoscale Physics 2009-11-13 v1 Strongly Correlated Electrons

Abstract

We discuss an alternative accurate Monte Carlo method to calculate the ground-state energy and related quantities for Laughlin states of the fractional quantum Hall effect in a disk geometry. This alternative approach allows us to obtain accurate bulk regime (thermodynamic limit) values for various quantities from Monte Carlo simulations with a small number of particles (much smaller than that needed with standard Monte Carlo approaches).

Keywords

Cite

@article{arxiv.0709.2320,
  title  = {Monte Carlo simulation method for Laughlin-like states in a disk geometry},
  author = {Orion Ciftja and Carlos Wexler},
  journal= {arXiv preprint arXiv:0709.2320},
  year   = {2009}
}

Comments

13 pages, 6 figures, 2 tables

R2 v1 2026-06-21T09:17:40.381Z